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Finding the Third Proportional to 503,569,993.50 and 1,083,667,513.50

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Solution

The third proportional to 503,569,993.50 and 1,083,667,513.50 is: 2,332,019,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,569,993.50 : 1,083,667,513.50 = 1,083,667,513.50 : x
  2. Step 2: Convert to fraction form
    503,569,993.50/1,083,667,513.50 = 1,083,667,513.50/x
  3. Step 3: Cross multiply
    503,569,993.50x = 1,083,667,513.50 × 1,083,667,513.50
  4. Step 4: Simplify right side
    503,569,993.50x = 1,174,335,279,815,272,704
  5. Step 5: Solve for x
    x = 1,174,335,279,815,272,704/503,569,993.50
  6. Step 6: Final answer
    x = 2,332,019,967.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.